Pith Number

pith:BOPUTY37

pith:2026:BOPUTY377BECWS452NPHP6F6QG

not attested not anchored not stored refs pending

Characters of modules over negative rank-2 Borcherds-Kac-Moody Lie algebras

G. Krishna Teja, Souvik Pal, Supravat Sarkar

arxiv:2606.20386 v1 · 2026-06-18 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BOPUTY377BECWS452NPHP6F6QG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-19T16:13:11.225081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b9f49e37ff8482b4b9dd35e77f8be819536a160a4a8399b5f233ebd262ea950

Aliases

arxiv: 2606.20386 · arxiv_version: 2606.20386v1 · doi: 10.48550/arxiv.2606.20386 · pith_short_12: BOPUTY377BEC · pith_short_16: BOPUTY377BECWS45 · pith_short_8: BOPUTY37

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BOPUTY377BECWS452NPHP6F6QG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0b9f49e37ff8482b4b9dd35e77f8be819536a160a4a8399b5f233ebd262ea950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b649acfcb0831682a3aecd06cbfe215f5e183861e799684aa4563ef140172344",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-18T15:44:31Z",
    "title_canon_sha256": "1a7f57885faf00df372e46f4e40bfb1338f350341f6da4cda679c4c6b710800b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20386",
    "kind": "arxiv",
    "version": 1
  }
}